A blow-up criterion for 3-D compressible visco-elasticity

Abstract

In this paper, we shall prove a blow-up criteria in terms of the upper bound of the density, deformation tensor and the gradient of deformation tensor for 3D compressible visco-elasticity. Based on the structure of deformation tensor, we find a cancelation in higher order derivatives, which brings us the desired results.

12papges, we made some improvement

References in corpus (5)

• A Blow-Up Criterion for Classical Solutions to the Compressible Navier-Stokes Equations
• On 2D Viscoelasticity with Small Strain
• Strong Solutions to the Three-Dimensional Compressible Viscoelastic Fluids
• The initial-boundary value problem for the compressible viscoelastic fluids
• Formation of singularity for compressible viscoelasticity

Cited by in corpus (2)

• Rotation-Strain Decomposition for the Incompressible Viscoelasticity in Two Dimensions
• Global solution in critical spaces to the compressible Oldroyd-B model with non-small coupling parameter